The standard deviation of the weight of filled salt containers is 0.4 ounce. If 2.5 percent of the containers contain less than 16 ounces, what is the mean filling weight of the containers?

Salt Containers
X-value Calculations Given Probabilities Using the Inverse Normal Distribution - Template
This spreadsheet is designed to calculate the X-value based on probability of values equal to, or less than a desired x value,
of a normally distributed variable. It requires input of a known mean and standard deviation and uses the inverse of the cumulative normal distribution
Enter the mean of the distribution in cell D10 and the standard deviation in cell D11, below.
Enter the desired probability in cell D12, and the calculated x-value will be seen in D13.
Mean of distribution		16.784
Std Dev of distribution		0.4
Probability of X or less		0.025
Calculated X-Value		16.00
	Calculated x-values	Probability
	15.184	0.00003
	15.224	0.00005
	15.264	0.00007
	15.304	0.00011
	15.344	0.00016
	15.384	0.00023
	15.424	0.00034
	15.464	0.00048
	15.504	0.00069
	15.544	0.00097
	15.584	0.00135
	15.624	0.00187
	15.664	0.00256
	15.704	0.00347
	15.744	0.00466		Truncated
	15.784	0.00621		x-values	Probability
	15.824	0.00820		15.184	0.00003
	15.864	0.01072		15.584	0.00135
	15.904	0.01390		15.984	0.02275
	15.944	0.01786		16.384	0.15866
	15.984	0.02275		16.784	0.50000
	16.024	0.02872		17.184	0.84134
	16.064	0.03593		17.184	0.84134
	16.104	0.04457		17.984	0.99865
	16.144	0.05480		18.384	0.99997
	16.184	0.06681
	16.224	0.08076
	16.264	0.09680
	16.304	0.11507
	16.344	0.13567
	16.384	0.15866
	16.424	0.18406
	16.464	0.21186
	16.504	0.24196
	16.544	0.27425
	16.584	0.30854
	16.624	0.34458
	16.664	0.38209
	16.704	0.42074
	16.744	0.46017
	16.784	0.50000
	16.824	0.53983
	16.864	0.57926
	16.904	0.61791
	16.944	0.65542
	16.984	Transcribed Image Text: Probability 1.000 0.900 0.800 0.700 0.600 0.500 0.400 0.300 0.200 0.100 0.000 15 15.5 X-values vs. Cumulative Probability 16 16.5 17 X-values 17.5 18 18.5 19 -Series1 Fantastic news! We've Found the answer you've been seeking! Answer rating: 100% (2 reviews) Given that the standard deviation for the salt containers 04 oz ...View the full answer Answered By Poonam Chaudhary I have 15 month+ Teaching Experience 5.00+ 2+ Reviews 10+ Question Solved Related Book For   An Introduction To Six Sigma And Process Improvement ISBN: 9781133604587 2nd Edition Authors: James R. Evans, William M. Lindsay See More Books Question Posted: Jul 05, 2023 10:15 AM See More Questions Students also viewed these Business questions The Salida Salt Company is considering making a bid to supply the highway department with rock salt to drop on roads in the county during the winter. The contract will guarantee a minimum of 25,000... 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